FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 1, PAGES 305-310

Lower bounds of polynomials on values of algebraically dependent \mbox{E-functions}

A.I.Galochkin

In the paper a lower bound of the modulus of a polynomial $|P (f_1(\alpha), \ldots, f_s(\alpha))|$ with integer coefficients on the values of E-functions f₁(z),..., f_s(z) at an algebraic point $\alpha$ is obtained, provided $P (f_1(\alpha), \ldots, f_s(\alpha)) \neq 0$.

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Last modified: October 7, 1997.